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229 results on '"Borovskikh, A. V."'

3. Group analysis of the one-dimensional Boltzmann equation

Author

Borovskikh, A. V. and Platonova, K. S.

Subjects
Mathematics - Analysis of PDEs, Mathematical Physics, 35Q20 (Primary) 35Q83, 22E70 (Secondary)
Abstract

The one-dimensional Boltzmann equation $f_{t} + cf_{x} + (\mathcal {F} f)_{c} = 0$ is considered with the function $\mathcal{F}$ depending on $(t, x, c, f)$. In this paper we obtain a complete group classification of such equations in the class of point transformations of the entire set of variables $(t, x, c, f)$ under the conditions of invariance of a) the relations $dx = cdt$, $dc = \mathcal {F} dt$, b) the lines $ dt = dx = 0 $ and c) the form $fdxdc$ fixing the physical meaning of the variables and the relationships between them., Comment: in Russian

Published
2019

6. Asymptotic distributions for a class of generalized $L$-statistics

Author

Borovskikh, Yuri V. and Weber, N. C.

Subjects
Mathematics - Statistics Theory
Abstract

We adapt the techniques in Stigler [Ann. Statist. 1 (1973) 472--477] to obtain a new, general asymptotic result for trimmed $U$-statistics via the generalized $L$-statistic representation introduced by Serfling [Ann. Statist. 12 (1984) 76--86]. Unlike existing results, we do not require continuity of an associated distribution at the truncation points. Our results are quite general and are expressed in terms of the quantile function associated with the distribution of the $U$-statistic summands. This approach leads to improved conditions for the asymptotic normality of these trimmed $U$-statistics., Comment: Published in at http://dx.doi.org/10.3150/09-BEJ240 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)

Published
2010
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9. Scientific Heritage of Vladimir Mikhailovich Millionshchikov

Author

Astashova, I. V., Borovskikh, A. V., Bykov, V. V., Vetokhin, A. N., Goritskii, A. Yu., Izobov, N. A., Il’yashenko, Yu. S., Kapustina, T. O., Kozlov, V. V., Kon’kov, A. A., Matrosov, I. V., Palin, V. V., Rozov, N. Kh., Romanov, M. S., Sergeev, I. N., Radkevich, E. V., Rozanova, O. S., Filimonova, I. V., Filinovskii, A. V., Chechkin, G. A., Shamaev, A. S., and Shaposhnikova, T. A.

Published
2015
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